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Independent component analysis (ICA) is now a widely used solution for the analysis of multi-subject functional magnetic resonance imaging (fMRI) data. Independent vector analysis (IVA) generalizes ICA to multiple datasets, i.e., to…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Trung Vu , Francisco Laport , Hanlu Yang , Vince D. Calhoun , Tulay Adali

The Laser Interferometer Space Antenna (LISA) will observe gravitational waves in the millihertz frequency band, detecting signals from a vast number of astrophysical sources embedded in instrumental noise. Extracting individual signals…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Niklas Houba

This paper develops a framework that can perform denoising, dereverberation, and source separation accurately by using a relatively small number of microphones. It has been empirically confirmed that Independent Vector Analysis (IVA) can…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-25 Tomohiro Nakatani , Rintaro Ikeshita , Keisuke Kinoshita , Hiroshi Sawada , Naoyuki Kamo , Shoko Araki

Independent Vector Analysis (IVA) is a popular extension of Independent Component Analysis (ICA) for joint separation of a set of instantaneous linear mixtures, with a direct application in frequency-domain speaker separation or extraction.…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-05 Zbyněk Koldovský , Jaroslav Čmejla , Tülay Adalı , Stephen O'Regan

We consider the problem of recovering a common latent source with independent components from multiple views. This applies to settings in which a variable is measured with multiple experimental modalities, and where the goal is to…

Machine Learning · Statistics 2019-08-02 Luigi Gresele , Paul K. Rubenstein , Arash Mehrjou , Francesco Locatello , Bernhard Schölkopf

Reliable measures of statistical dependence could be useful tools for learning independent features and performing tasks like source separation using Independent Component Analysis (ICA). Unfortunately, many of such measures, like the…

Machine Learning · Statistics 2017-10-17 Philemon Brakel , Yoshua Bengio

This paper is an attempt to separate cardiac and respiratory signals from an electrical bio-impedance (EBI) dataset. For this two well-known algorithms, namely Principal Component Analysis (PCA) and Independent Component Analysis (ICA),…

Applications · Statistics 2013-07-04 Yar M. Mughal , A. Krivoshei , P. Annus

Although approaches to Independent Component Analysis (ICA) based on characteristic function seem theoretically elegant, they may suffer from implementational challenges because of numerical integration steps or selection of tuning…

Methodology · Statistics 2025-11-07 Vincent Starck

Introduction: Electroencephalogram (EEG) signals have gained significant popularity in various applications due to their rich information content. However, these signals are prone to contamination from various sources of artifacts, notably…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Behrad TaghiBeyglou , Fatemeh Bagheri

Brain-computer interface (BCI) technology enables direct communication between the brain and external devices through electroencephalography (EEG) signals. However, existing decoding models often mix common and personalized components,…

Neurons and Cognition · Quantitative Biology 2025-11-21 Xiaoyuan Li , Xinru Xue , Bohan Zhang , Ye Sun , Shoushuo Xi , Gang Liu

Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled with the infinite…

Numerical Analysis · Mathematics 2022-04-21 Jon Vegard Venås , Trond Kvamsdal , Trond Jenserud

Independent component analysis provides a principled framework for unsupervised representation learning, with solid theory on the identifiability of the latent code that generated the data, given only observations of mixtures thereof.…

Machine Learning · Statistics 2022-02-10 Luigi Gresele , Julius von Kügelgen , Vincent Stimper , Bernhard Schölkopf , Michel Besserve

The analysis of the wavelength-dependent albedo of exoplanets represents a direct way to provide insight of their atmospheric composition and to constrain theoretical planetary atmosphere modelling. Wavelength-dependent albedo can be…

Instrumentation and Methods for Astrophysics · Physics 2019-10-09 Paolo Di Marcantonio , Carlo Morossi , Mariagrazia Franchini , Holger Lehmann

We present a new high performance Convex Cauchy Schwarz Divergence (CCS DIV) measure for Independent Component Analysis (ICA) and Blind Source Separation (BSS). The CCS DIV measure is developed by integrating convex functions into the…

Information Theory · Computer Science 2014-08-04 Zaid Albataineh , Fathi M. Salem

Previous analytical studies of on-line Independent Component Analysis (ICA) learning rules have focussed on asymptotic stability and efficiency. In practice the transient stages of learning will often be more significant in determining the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Magnus Rattray

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

In Gaussian model-based multichannel audio source separation, the likelihood of observed mixtures of source signals is parametrized by source spectral variances and by associated spatial covariance matrices. These parameters are estimated…

Sound · Computer Science 2026-04-15 Mahmoud Fakhry , Piergiorgio Svaizer , Maurizio Omologo

We address the problem of distinguishing cause from effect in bivariate setting. Based on recent developments in nonlinear independent component analysis (ICA), we train nonparametrically general nonlinear causal models that allow…

Machine Learning · Statistics 2021-01-19 Pengzhou Wu , Kenji Fukumizu

Independent low-rank matrix analysis (ILRMA) is the state-of-the-art algorithm for blind source separation (BSS) in the determined situation (the number of microphones is greater than or equal to that of source signals). ILRMA achieves a…

Sound · Computer Science 2020-12-30 Daichi Kitamura , Kohei Yatabe

Efficient representations of data are essential for processing, exploration, and human understanding, and Principal Component Analysis (PCA) is one of the most common dimensionality reduction techniques used for the analysis of large,…

Computation · Statistics 2023-11-06 Olga Dorabiala , Aleksandr Aravkin , J. Nathan Kutz